The eigenstates of the Hamiltonian operator of the Hydrogen atom are typically identified by VN,1,m where N, 1. m are th

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The Eigenstates Of The Hamiltonian Operator Of The Hydrogen Atom Are Typically Identified By Vn 1 M Where N 1 M Are Th 1 (87.12 KiB) Viewed 9 times

The eigenstates of the Hamiltonian operator of the Hydrogen atom are typically identified by VN,1,m where N, 1. m are the three quantum numbers: N is the principal quantum number, I is the total angular momentum quantum number and m is the quantum number associated with the projection of angular momentum along the z direction. The following wave functions are linear combinations of Hamiltonian eigenstates of the Hydrogen atom. For each of these wave functions, indicate which operator(s) of which it is an eigenstate. 2,1,1+4,1-1-2,1,-1 √3 V5,1,0-2,1,0 √2 V4,1,-1+4,2,-1 √2 V6,3, 2+5,2, 2 √2 Choice... Choice... H and Lz H and L² None L² and Lz Lz L2 H Choice... Choice... H and Lz H and L² None L² and Lz Lz L² H Choice... Choice... H and Lz H and L² None L² and Lz Lz L² H Choice... Choice... H and Lz H and L² None L² and Lz Lz L² H 5,4,1-5,4,-1 √2 7,6,0+2V4,3,-1-3,0,0 √6 V4.2,1-4,1,-1 √/2 V5,4,0 +7,3,-1 √2 Choice... Choice... H and Lz H and L² None L² and Lz Lz L² H Choice... Choice... H and Lz H and L² None L² and Lz Lz L2 H Choice... Choice... H and Lz H and L² None L² and Lz Lz L² H Choice... Choice... H and Lz H and L² None L² and Lz Lz L² H